/*
* ################################################################################
* ### MIT License
* ################################################################################
* 
* Copyright (c) 2006-2011 Andy Turner
* 
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
* 
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
* 
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
#ifndef __SEQUENCES_H__
#define __SEQUENCES_H__

namespace AWT
{
   template <class T>
   const T linspace(const T lower, const T upper, const T alpha)
   {
      return (1-alpha)*lower + alpha*upper;
   }

   template <class T>
   const T linspace(const T lower, const T upper, const unsigned int steps, const unsigned int i)
   {
      return linspace(lower, upper, static_cast<T>(i)/steps);
   }

   template <class T>
   const T logspace(const T lower, const T upper, const T alpha)
   {
      return exp(linspace(log(lower), log(upper), alpha));
   }

   template <class T>
   const T logspace(const T lower, const T upper, const unsigned int steps, const unsigned int i)
   {
      return logspace(lower, upper, static_cast<T>(i)/steps);
   }
}

#endif // __SEQUENCES_H__